(i). monthly regular meetings where we discuss and exchange new ideas, present briefly what we have done on various topics,

(ii). weekly joint group meetings/discussions/seminars among core members and students/postdocs,

(iii). Private discussions among core members via emails/phones/meetings, and

(iv). Mini-workshops/schools (one mini-workshop in Aug., one joint summer school with AMO TG in Aug., and one mini-workshop in Dec.).

V.Highlight of Results (2015-2016):

(1) CH Chung and CY Mou study the Kondo lattice system with spin-orbit interactions. The goal is to find a new phase called “topological Kondo semi-metal”. It is demonstrated that a new Dirac semi-metallic phase emerges at a finite temperature below the Kondo temperature. The resulting Kondo phase is a novel Fermionic critical system at finite temperatures.

* CY Mou, W-F Tsai, and CH Chung, together with visitor from NUS, Singapore Dr, Shin-Ming Huang, former postdoc of CY Mou, have discussed about on the superconductivity for a strongly correlated Kane-Mele TI system. In particular, we found that the topological nature of our discovered "helical" superconductivity, while with TRS broken pairing, is still unclear and thus worth studying further in order to clarify its nature and its corresponding topological phase transition to other phases in the system. After a preliminary study, they realized for the first time a significant duality between SC and TI with FM in the model. By using it, we investigate the complete phase diagram of this superconducting system.